5041677600 has 288 divisors, whose sum is σ = 18422570880. Its totient is φ = 1330560000.

The previous prime is 5041677593. The next prime is 5041677601. The reversal of 5041677600 is 67761405.

5041677600 is a `hidden beast` number, since 5 + 0 + 41 + 6 + 7 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5041677601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2180445 + ... + 2182755.

It is an arithmetic number, because the mean of its divisors is an integer number (63967260).

Almost surely, 2^5041677600 is an apocalyptic number.

5041677600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5041677600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9211285440).

5041677600 is an abundant number, since it is smaller than the sum of its proper divisors (13380893280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5041677600 is a wasteful number, since it uses less digits than its factorization.

5041677600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5041677600 is about 71004.7716706420. The cubic root of 5041677600 is about 1714.7139858553.

The spelling of 5041677600 in words is "five billion, forty-one million, six hundred seventy-seven thousand, six hundred".